From 6b55e52a56e96acdb01ac86142d620fbc6468531 Mon Sep 17 00:00:00 2001
From: Eatswap <root@eatswap.org>
Date: Thu, 23 Mar 2023 15:41:31 +0800
Subject: [PATCH] add: 230323-CN

---
 cpp/2303/230323-CN.cpp  | 108 ++++++++++++++++++++++++++++++++++++++++
 cpp/2303/CMakeLists.txt |   2 +-
 2 files changed, 109 insertions(+), 1 deletion(-)
 create mode 100644 cpp/2303/230323-CN.cpp

diff --git a/cpp/2303/230323-CN.cpp b/cpp/2303/230323-CN.cpp
new file mode 100644
index 0000000..9e4b537
--- /dev/null
+++ b/cpp/2303/230323-CN.cpp
@@ -0,0 +1,108 @@
+#include <vector>
+#include <functional>
+#include <iostream>
+#include <unordered_map>
+
+template<typename T>
+class MinMaxSegTree {
+private:
+	using V = std::vector<T>;
+	using OF = const T& (*)(const T&, const T&);
+	using BTF = std::function<T(int, int, int, const V&, V&, OF)>;
+
+	int n;
+	V s, b;
+
+	static constexpr inline int calc(int n) {
+		for (int i = 1; ; i <<= 1)
+			if (i >= n)
+				return i << 1;
+	}
+
+	T query(int L, int R, int qL, int qR, int pos, const V& tree, OF op) const {
+		if (L == qL && R == qR)
+			return tree[pos];
+		const int qM = (qL + qR) >> 1;
+		if (R <= qM)
+			return query(L, R, qL, qM, pos << 1, tree, op);
+		if (qM <= L)
+			return query(L, R, qM, qR, 1 | (pos << 1), tree, op);
+		return op(query(L, qM, qL, qM, pos << 1, tree, op), query(qM, R, qM, qR, 1 | (pos << 1), tree, op));
+	}
+
+public:
+	explicit MinMaxSegTree(const std::vector<T>& d) : n(d.size()), s(calc(n)), b(calc(n)) {
+		BTF dfs = [&](int L, int R, int pos, const V& src, V& dst, OF op) {
+			if (L == R - 1)
+				return dst[pos] = src[L];
+			const int M = (L + R) >> 1;
+			return dst[pos] = op(dfs(L, M, pos << 1, src, dst, op), dfs(M, R, 1 | (pos << 1), src, dst, op));
+		};
+		dfs(0, n, 1, d, s, std::min);
+		dfs(0, n, 1, d, b, std::max);
+	}
+
+	T min(int L, int R) const {
+		return query(L, R, 0, n, 1, s, std::min);
+	}
+
+	T max(int L, int R) const {
+		return query(L, R, 0, n, 1, b, std::max);
+	}
+};
+
+/**
+ * 1630. Arithmetic Subarrays
+ *
+ * A sequence of numbers is called arithmetic if it consists of at least two elements, and the difference between every two consecutive elements is the same. More formally, a sequence s is arithmetic if and only if s[i+1] - s[i] == s[1] - s[0] for all valid i.
+ *
+ * For example, these are arithmetic sequences:
+ *
+ * 1, 3, 5, 7, 9
+ * 7, 7, 7, 7
+ * 3, -1, -5, -9
+ * The following sequence is not arithmetic:
+ *
+ * 1, 1, 2, 5, 7
+ * You are given an array of n integers, nums, and two arrays of m integers each, l and r, representing the m range queries, where the ith query is the range [l[i], r[i]]. All the arrays are 0-indexed.
+ *
+ * Return a list of boolean elements answer, where answer[i] is true if the subarray nums[l[i]], nums[l[i]+1], ... , nums[r[i]] can be rearranged to form an arithmetic sequence, and false otherwise.
+ */
+
+class Solution {
+public:
+	static std::vector<bool> checkArithmeticSubarrays(
+		const std::vector<int>& nums,
+		const std::vector<int>& l,
+		const std::vector<int>& r
+	) {
+		auto tree = new MinMaxSegTree(nums);
+		const int n = l.size(), k = nums.size();
+		std::unordered_multimap<int, int> m;
+		for (int i = 0; i < k; ++i)
+			m.insert({nums[i], i});
+		std::vector<bool> ret(n);
+		for (int i = 0; i < n; ++i) {
+			const int L = l[i], R = r[i] + 1, min = tree->min(L, R), max = tree->max(L, R);
+			if ((max - min) % (R - L - 1))
+				continue;
+			int step = (max - min) / (R - L - 1);
+			bool OK = true;
+			for (int j = step + min; j < max; j += step) {
+				const auto [MERs, MERe] = m.equal_range(j);
+				if (!(OK = std::any_of(MERs, MERe, [L, R](auto&& x) { return x.second < R && x.second >= L; })))
+					break;
+			}
+			ret[i] = OK;
+		}
+		delete tree;
+		return ret;
+	}
+};
+
+int main() {
+	auto r = Solution::checkArithmeticSubarrays({-3,-6,-8,-4,-2,-8,-6,0,0,0,0},{1},{4});
+	for (auto&& i : r) {
+		std::cout << (i ? "true\n" : "false\n");
+	}
+}
diff --git a/cpp/2303/CMakeLists.txt b/cpp/2303/CMakeLists.txt
index 875baf9..1799d8b 100644
--- a/cpp/2303/CMakeLists.txt
+++ b/cpp/2303/CMakeLists.txt
@@ -3,4 +3,4 @@ PROJECT(2303)
 
 SET(CMAKE_CXX_STANDARD 23)
 
-ADD_EXECUTABLE(2303 230322.cpp)
+ADD_EXECUTABLE(2303 230323-CN.cpp)